Exam 14: Heat

Water has a specific heat capacity of 4186 J/kg $^{\circ}$ C.A tank contains 500 kg of water at 10.0 $^{\circ}$ C.The water is heated up to a temperature of 90.0 $^{\circ}$ C.If electricity costs $0.100 per kilowatt-hour,then what is the cost of heating the water?

A brass rod is placed between two temperature sources so that heat can flow between them.One temperature is 80 $^{\circ}$ C and the other temperature is 20 $^{\circ}$ C.The length of the rod is 50.0 cm and the cross sectional area is 15.0 cm².If the coefficient of thermal conduction for brass is 100 W/m $^{\circ}$ C,then what is the heat flow between the hot temperature and the cold temperature?

Radiant energy from the Sun reaches the Earth at a rate of 1.70 $\times$ 10¹⁷ W.When 30.0% of the radiant energy is reflected and 70.0% absorbed,the average temperature of the Earth's atmosphere is 253 K or -20.0 $^{\circ}$ C.If the atmosphere reflected 20.0% and absorbed 80.0% of the solar radiant energy,then what is the average temperature of the Earth's atmosphere?

A 2000 kg car is traveling at 40.0 m/s and then puts on the brakes and comes to a complete stop.The heat generated at the brakes due to stopping heats up the brakes.The mass of the brake system is 20.0 kg and it has a specific heat of 0.200 kcal/kg $^{\circ}$ C.What is the increase in the temperature of the brakes?

What is the total internal energy of 2.00 moles of an ideal gas at -50 $^{\circ}$ C?

A brass rod with a length of 10.0 cm is placed end to end with an aluminum rod with a length of 30.0 cm and this system is placed between a hot temperature of 100 $^{\circ}$ C and a cold temperature of 10.0 $^{\circ}$ C.The coefficient of thermal conductivities of the brass and the aluminum are 100 W/m C and 230 W/m $^{\circ}$ C respectively.The rods have the same cross sectional area of 20.0 cm².What is the heat flow from the hot temperature to the cold temperature?

The inside temperature of a house is 65 $^{\circ}$ F.When the temperature outside the house is 35 $^{\circ}$ F,the furnace supplies 100 Joules per hour to keep the inside of the house warm.If the temperature outside the house goes to 50 $^{\circ}$ F,then what is the fuel consumption of the furnace?

A sample of helium has a volume of 2.00 liters,a temperature of 20.0 $^{\circ}$ C,and a pressure of 2.50 atmospheres.What is the energy needed to heat the sample of helium gas from 20.0 $^{\circ}$ C to 95.0 $^{\circ}$ C at constant volume?

The specific heat of ice is 2.10 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,the heat of vaporization of water at 100 $^{\circ}$ C is 2256kJ/kg,and the specific heat of steam is 2.020 kJ/kg $^{\circ}$ C.What is the final equilibrium temperature when 30.0 grams of ice at 0 $^{\circ}$ C is mixed with 4.00 grams of steam at 120 $^{\circ}$ C?

The specific of ice is 2.10 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,and the heat of vaporization of water at 100 $^{\circ}$ C is 2256 kJ/kg.What is the final equilibrium temperature when 10.0 grams of ice at -15.0 $^{\circ}$ C is mixed with 3.00 grams of steam at 100 $^{\circ}$ C?

The heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,and the heat of vaporization of water at 100 $^{\circ}$ C is 2,256 kJ/kg.What is the energy needed to vaporize 100 grams of ice at starting at 0 $^{\circ}$ C?

The heat of fusion for lead at 327 $^{\circ}$ C is 22.9 kJ/kg and the specific heat of solid lead is 0.130 kJ/kg $^{\circ}$ C,the specific of liquid lead is 0.0900 kJ/kg $^{\circ}$ C,and the heat of vaporization of lead at 1,620 $^{\circ}$ C is 871 kJ/kg.What is the energy needed to vaporize 100 grams of lead starting at 0 $^{\circ}$ C?

What is the total internal energy of 1.00 mole of an ideal gas at 100 $^{\circ}$ C?

A Styrofoam cooler has a surface area of 2,700 cm² and a wall thickness of 3.00 cm.Styrofoam has a coefficient of thermal conductivity of 0.010 W/m $^{\circ}$ C.A 2.00 kg block of ice is placed inside the cooler that has a temperature inside of 2 $^{\circ}$ C.When the temperature outside is 30.0 $^{\circ}$ C,the ice lasts for 8.00 hours.If the temperature outside becomes 20.0 $^{\circ}$ C,then how long will the ice last?

A brass rod with a length of 20.0 cm is placed end to end with an aluminum rod with a length of 20.0 cm and this system is placed between a hot temperature of 100 $^{\circ}$ C and a cold temperature of 10.0 $^{\circ}$ C.The coefficient of thermal conductivities of the brass and the aluminum are 100 W/m C and 230 W/m $^{\circ}$ C respectively.The rods have the same cross sectional area of 25.0 cm².What is the heat flow from the hot temperature to the cold temperature?

A wood burning stove in a cabin in the woods has a surface area of 0.100 m².If the stove radiates heat like a perfect blackbody radiator with a temperature of 150 $^{\circ}$ C,then what is the energy per second that the stoves radiates?

If a space heater consisted of a 10.0 cm radius iron ball through which electrical current was passed in order to heat the ball,what temperature would it need to be raised to in order to radiate 500 W into the surrounding air (which is at a temperature of 20 $^{\circ}$ C? Assume the ball is a perfect blackbody.

The heat of fusion for silver at 960.8 $^{\circ}$ C is 88.3 kJ/kg and the specific heat of silver is 0.235 kJ/kg $^{\circ}$ C.What is the energy needed to melt 100 grams of silver starting at 0 $^{\circ}$ C?

The specific heat of steam is 2,020 J/kg K in the mks system of units.What is the value of the specific heat of steam in cal/gm $^{\circ}$ C?

The specific heat of ice is 2.10 kJ/kg $^{\circ}$ C,the heat of fusion for ice at 0 $^{\circ}$ C is 333.7 kJ/kg,the specific heat of water 4.186 kJ/kg $^{\circ}$ C,the heat of vaporization of water at 100 $^{\circ}$ C is 2,256 kJ/kg,and the specific heat of steam is 2.020 kJ/kg $^{\circ}$ C.What is the final equilibrium temperature when 40.0 grams of ice at 0 $^{\circ}$ C is mixed with 5.00 grams of steam at 120 $^{\circ}$ C?